Matrix Lyapunov functions method for sets of dynamic equations on time scales
| Autor: | A. A. Martynyuk, Yu.A. Martynyuk-Chernienko, Ivanka M. Stamova |
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| Rok vydání: | 2019 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Direct method Scalar (mathematics) 02 engineering and technology Computer Science Applications symbols.namesake 020901 industrial engineering & automation Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics 020201 artificial intelligence & image processing Dynamic equation Analysis Mathematics |
| Zdroj: | Nonlinear Analysis: Hybrid Systems. 34:166-178 |
| ISSN: | 1751-570X |
| DOI: | 10.1016/j.nahs.2019.06.004 |
| Popis: | In this paper, for a family of equations on time scales, a generalization of the direct method of Lyapunov is introduced. Efficient sufficient conditions for various stability types of the sets of trajectories are proposed by means of scalar and vector Lyapunov-type functions, constructed on the basis of matrix-valued functions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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